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3 years ago

9

Caleb plans to divide a 20-lb bag of dog food into 3 equal-size containers. Between which two whole numbers does the number of p

ounds of dog food in each container lie?

1 answer:

Korvikt [17]3 years ago

8 0

Hi there!

Since

3 × 7 = 21

and

3 × 6 = 18

and

18 < 20 < 21,

and since

19 < 20 < 21,

the answer is 19 and 21.

Hope this helps!

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Answer:

Tan C = 3/4

Step-by-step explanation:

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∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = $1 - \frac{9}{25}$

Cos² C = $\frac{25 - 9}{25}$

Cos² C = $\frac{16}{25}$

Cos C = $\sqrt{\frac{16}{25} }$

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As we know that

Tan C = $\frac{Sin C}{Cos C }$

<em>Tan C = $\frac{\frac{3}{5} }{\frac{4}{5} }$ </em>

<em>Tan C = $\frac{3}{4}$ </em>

<u>METHOD - II</u>

Given Sin C = $\frac{3}{5} = \frac{Height}{Hypotenuse}$

therefore,

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

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<em>AC² = 16</em>

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<em>Since, </em>

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<em>Tan C = $\frac{AB}{AC}$ </em>

<em>Hence Tan C = $\frac{3}{4}$ </em>

<em />

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3 years ago